A mesh-independence principle for nonlinear operator equations and their discretizations under mild differentiability conditions. - Ioannis K. Argyros (Computing, 1990)

Improved error bounds for the modified secant method. - Ioannis K. Argyros (Int. J. Comput. Math., 1992)

Sufficient conditions for constructing methods faster than Newton's. - Ioannis K. Argyros (Appl. Math. Comput., 1998)

On the convergence of two-step methods generated by point-to-point operators. - Ioannis K. Argyros (Appl. Math. Comput., 1999)

On Newton's method under mild differentiability conditions and applications. - Ioannis K. Argyros (Appl. Math. Comput., 1999)

Convergence rates for inexact Newton-like methods at singular points and applications. - Ioannis K. Argyros (Appl. Math. Comput., 1999)

Results on Newton methods. Part 1: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications. - Ioannis K. Argyros (Appl. Math. Comput., 1999)

Results on Newton methods. Part II: Perturbed Newton-like methods in generalized Banach spaces. - Ioannis K. Argyros (Appl. Math. Comput., 1999)

Relations Between Forcing Sequences and Inexact Newton Iterates in Banach Space. - Ioannis K. Argyros (Computing, 1999)

Relations between forcing sequences and inexact newton-like iterates in banach spaceInexact newton-like iterates in banach space. - Ioannis K. Argyros (Int. J. Comput. Math., 1999)

Forcing sequences and inexact Newton iterates in Banach space. - Ioannis K. Argyros (Appl. Math. Lett., 2000)

On the radius of convergence of newton's method. - Ioannis K. Argyros (Int. J. Comput. Math., 2001)

On the Convergence and Application of Newton's Method under Weak Hölder Continuity Assumptions. - Ioannis K. Argyros (Int. J. Comput. Math., 2003)

Improved convergence analysis for the Secant method based on a certain type of recurrence relations. - Ioannis K. Argyros (Int. J. Comput. Math., 2004)

On a two-point Newton-like method of convergent order two. - Ioannis K. Argyros (Int. J. Comput. Math., 2005)

A new iterative method of asymptotic order 1+sqrt(2) for the computation of fixed points. - Ioannis K. Argyros (Int. J. Comput. Math., 2005)

Improved convergence and complexity analysis of Newton's method for solving equations. - Ioannis K. Argyros (Int. J. Comput. Math., 2007)

On a non-smooth version of Newton's method based on Hölderian assumption - Ioannis K. Argyros (Int. J. Comput. Math., 2007)

Local convergence of Newton-like methods for generalized equations. - Ioannis K. Argyros; Saïd Hilout (Appl. Math. Comput., 2008)

A Fréchet derivative-free cubically convergent method for set-valued maps. - Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2008)

On the convergence of the midpoint method. - Ioannis K. Argyros; Livinus Ugochukwu Uko (Numer. Algorithms, 2008)

On Newton's method for solving equations containing Fréchet-differentiable operators of order at least two. - Ioannis K. Argyros (Appl. Math. Comput., 2009)

On convergence of the modified Newton's method under Hölder continuous Fréchet derivative. - Hongmin Ren; Ioannis K. Argyros (Appl. Math. Comput., 2009)

On local convergence of a Newton-type method in Banach space. - Ioannis K. Argyros; Jinhai Chen (Int. J. Comput. Math., 2009)

On the weakening of the convergence of Newton's method using recurrent functions. - Ioannis K. Argyros; Saïd Hilout (J. Complex., 2009)

On the implicit iterative process for strictly pseudo-contractive mappings in Banach spaces. - Ioannis K. Argyros; Yeol Je Cho; Xiaolong Qin (J. Comput. Appl. Math., 2009)

On the convergence of modified Newton methods for solving equations containing a non-differentiable term. - Ioannis K. Argyros; Hongmin Ren (J. Comput. Appl. Math., 2009)

On Ulm's method using divided differences of order one. - Ioannis K. Argyros (Numer. Algorithms, 2009)

On the convergence of Newton-type methods under mild differentiability conditions. - Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2009)

On an improved local convergence analysis for the Secant method. - Ioannis K. Argyros; Hongmin Ren (Numer. Algorithms, 2009)

Generalized equations, variational inequalities and a weak Kantorovich theorem. - Livinus Ugochukwu Uko; Ioannis K. Argyros (Numer. Algorithms, 2009)

On the midpoint method for solving equations. - Ioannis K. Argyros; Yeol Je Cho; Saïd Hilout (Appl. Math. Comput., 2010)

Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative. - Hongmin Ren; Ioannis K. Argyros (Appl. Math. Comput., 2010)

Local convergence of a secant type method for solving least squares problems. - Hongmin Ren; Ioannis K. Argyros (Appl. Math. Comput., 2010)

Improved results on estimating and extending the radius of an attraction ball. - Jinhai Chen; Ioannis K. Argyros (Appl. Math. Lett., 2010)

Approximation methods for common solutions of generalized equilibrium, systems of nonlinear variational inequalities and fixed point problems. - Yeol Je Cho; Ioannis K. Argyros; Narin Petrot (Comput. Math. Appl., 2010)

A unified approach for the convergence of certain numerical algorithms, using recurrent functions. - Ioannis K. Argyros; Saïd Hilout (Computing, 2010)

On the convergence region of Newton's method under Hölder continuity conditions. - Ioannis K. Argyros (Int. J. Comput. Math., 2010)

An improved convergence analysis for the Newton-Kantorovich method using recurrence relations. - Ioannis K. Argyros (Int. J. Comput. Math., 2010)

On the convergence of Newton-type methods using recurrent functions. - Ioannis K. Argyros; Saïd Hilout (Int. J. Comput. Math., 2010)

Improved generalized differentiability conditions for Newton-like methods. - Ioannis K. Argyros; Saïd Hilout (J. Complex., 2010)

Inexact Newton-type methods. - Ioannis K. Argyros; Saïd Hilout (J. Complex., 2010)

Extending the Newton-Kantorovich hypothesis for solving equations. - Ioannis K. Argyros; Saïd Hilout (J. Comput. Appl. Math., 2010)

Majorizing functions and two-point Newton-type methods. - Jinhai Chen; Ioannis K. Argyros; Ravi P. Agarwal (J. Comput. Appl. Math., 2010)

On the local convergence of inexact Newton-type methods under residual control-type conditions. - Hongmin Ren; Ioannis K. Argyros (J. Comput. Appl. Math., 2010)

On a class of secant-like methods for solving nonlinear equations. - Ioannis K. Argyros (Numer. Algorithms, 2010)

A Kantorovich-type convergence analysis of the Newton-Josephy method for solving variational inequalities. - Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2010)

A convergence analysis for directional two-step Newton methods. - Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2010)

Convergence of Directional Methods under mild differentiability and applications. - Ioannis K. Argyros; Saïd Hilout (Appl. Math. Comput., 2011)

Weak convergence conditions for Inexact Newton-type methods. - Ioannis K. Argyros; Saïd Hilout (Appl. Math. Comput., 2011)

Extending the applicability of Secant methods and nondiscrete induction. - Ioannis K. Argyros; Saïd Hilout (Appl. Math. Comput., 2011)

Sixth order derivative free family of iterative methods. - Sanjay Kumar Khattri; Ioannis K. Argyros (Appl. Math. Comput., 2011)

Extended sufficient semilocal convergence for the Secant method. - Yeol Je Cho; Ioannis K. Argyros; Saïd Hilout (Comput. Math. Appl., 2011)

A unifying theorem for Newton's method on spaces with a convergence structure. - Ioannis K. Argyros; Saïd Hilout (J. Complex., 2011)

On the semilocal convergence of efficient Chebyshev-Secant-type methods. - Ioannis K. Argyros; J. A. Ezquerro; José Manuel Gutiérrez Jiménez; Miguel Ángel Hernández-Verón; Saïd Hilout (J. Comput. Appl. Math., 2011)

Kantorovich-type semilocal convergence analysis for inexact Newton methods. - Ioannis K. Argyros; Hongmin Ren (J. Comput. Appl. Math., 2011)

A semilocal convergence analysis for directional Newton methods. - Ioannis K. Argyros (Math. Comput., 2011)

On the solution of systems of equations with constant rank derivatives. - Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2011)

Extending the applicability of the Gauss-Newton method under average Lipschitz-type conditions. - Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2011)

A derivative free iterative method for solving least squares problems. - Hongmin Ren; Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2011)

On the semilocal convergence of damped Newton's method. - Ioannis K. Argyros; Saïd Hilout (Appl. Math. Comput., 2012)

New conditions for the convergence of Newton-like methods and applications. - Ioannis K. Argyros; Saïd Hilout (Appl. Math. Comput., 2012)

Local convergence of efficient Secant-type methods for solving nonlinear equations. - Hongmin Ren; Ioannis K. Argyros (Appl. Math. Comput., 2012)

On the semi-local convergence of Halley's method under a center-Lipschitz condition on the second Fréchet derivative. - Hongmin Ren; Ioannis K. Argyros (Appl. Math. Comput., 2012)

Weaker conditions for the convergence of Newton's method. - Ioannis K. Argyros; Saïd Hilout (J. Complex., 2012)

Majorizing sequences for iterative procedures in Banach spaces. - Ioannis K. Argyros; Saïd Hilout (J. Complex., 2012)

Improved local convergence of Newton's method under weak majorant condition. - Ioannis K. Argyros; Saïd Hilout (J. Comput. Appl. Math., 2012)

Majorizing sequences for iterative methods. - Ioannis K. Argyros; Saïd Hilout (J. Comput. Appl. Math., 2012)

Secant-type methods and nondiscrete induction. - Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2012)

Improved local analysis for a certain class of iterative methods with cubic convergence. - Hongmin Ren; Ioannis K. Argyros (Numer. Algorithms, 2012)

On a bilinear operator free third order method on Riemannian manifolds. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; Rodrigo A. Castro; Saïd Hilout; Sergio Plaza (Appl. Math. Comput., 2013)

Expanding the applicability of a modified Gauss-Newton method for solving nonlinear ill-posed problems. - Ioannis K. Argyros; Santhosh George (Appl. Math. Comput., 2013)

Extending the applicability of Newton's method on Lie groups. - Ioannis K. Argyros; Saïd Hilout (Appl. Math. Comput., 2013)

On an improved convergence analysis of Newton's method. - Ioannis K. Argyros; Saïd Hilout (Appl. Math. Comput., 2013)

Expanding the applicability of Inexact Newton Methods under Smale's (α, γ)-theory. - Ioannis K. Argyros; Sanjay Kumar Khattri; Saïd Hilout (Appl. Math. Comput., 2013)

Solving nonlinear equations system via an efficient genetic algorithm with symmetric and harmonious individuals. - Hongmin Ren; Long Wu; Weihong Bi; Ioannis K. Argyros (Appl. Math. Comput., 2013)

Efficient Steffensen-type algorithms for solving nonlinear equations. - Ioannis K. Argyros; Hongmin Ren (Int. J. Comput. Math., 2013)

Iterative Methods for Nonlinear Equations or Systems and Their Applications. - Juan R. Torregrosa; Ioannis K. Argyros; Changbum Chun; Alicia Cordero; Fazlollah Soleymani (J. Appl. Math., 2013)

On the Secant method. - Ioannis K. Argyros; Sanjay Kumar Khattri (J. Complex., 2013)

On the local convergence of fast two-step Newton-like methods for solving nonlinear equations. - Ioannis K. Argyros; Saïd Hilout (J. Comput. Appl. Math., 2013)

Improved local convergence analysis of inexact Gauss-Newton like methods under the majorant condition in Banach spaces. - Ioannis K. Argyros; Saïd Hilout (J. Frankl. Inst., 2013)

Directional Secant-Type Methods for Solving Equations. - Ioannis K. Argyros; Saïd Hilout (J. Optim. Theory Appl., 2013)

Unified majorizing sequences for Traub-type multipoint iterative procedures. - Ioannis K. Argyros; Daniel González (Numer. Algorithms, 2013)

Estimating upper bounds on the limit points of majorizing sequences for Newton's method. - Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2013)

Newton-type methods on Riemannian manifolds under Kantorovich-type conditions. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; Rodrigo A. Castro; Saïd Hilout; Sergio Plaza (Appl. Math. Comput., 2014)

On the convergence of Broyden's method in Hilbert spaces. - Ioannis K. Argyros; Y. J. Cho; Sanjay Kumar Khattri (Appl. Math. Comput., 2014)

Extending the applicability of Newton's method for k-Fréchet differentiable operators in Banach spaces. - Ioannis K. Argyros; Daniel González (Appl. Math. Comput., 2014)

Robust semi-local convergence analysis for inexact Newton method. - Ioannis K. Argyros; Saïd Hilout; Ángel Alberto Magreñán (Appl. Math. Comput., 2014)

Local convergence analysis of proximal Gauss-Newton method for penalized nonlinear least squares problems. - Ioannis K. Argyros; Ángel Alberto Magreñán (Appl. Math. Comput., 2014)

Extending the applicability of Gauss-Newton method for convex composite optimization on Riemannian manifolds. - Ioannis K. Argyros; Ángel Alberto Magreñán (Appl. Math. Comput., 2014)

Optimizing the applicability of a theorem by F. Potra for Newton-like methods. - Ángel Alberto Magreñán; Ioannis K. Argyros (Appl. Math. Comput., 2014)

Majorizing sequences for Newton's method under centred conditions for the derivative. - Ioannis K. Argyros; Daniel González; Ángel Alberto Magreñán (Int. J. Comput. Math., 2014)

Weaker convergence for Newton's method under Hölder differentiability. - Ioannis K. Argyros; Saïd Hilout (Int. J. Comput. Math., 2014)

Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations. - Ioannis K. Argyros; Santhosh George; Jidesh Pacheeripadikkal (Int. J. Math. Math. Sci., 2014)

Iterative Methods for Nonlinear Equations or Systems and Their Applications 2014. - Juan R. Torregrosa; Ioannis K. Argyros; Changbum Chun; Alicia Cordero; Fazlollah Soleymani (J. Appl. Math., 2014)

Two-step Newton methods. - Ángel Alberto Magreñán Ruiz; Ioannis K. Argyros (J. Complex., 2014)

Expanding the applicability of Newton's method using Smale's α-theory. - Ioannis K. Argyros; Saïd Hilout; Sanjay Kumar Khattri (J. Comput. Appl. Math., 2014)

Weaker Kantorovich type criteria for inexact Newton methods. - Ioannis K. Argyros; Sanjay Kumar Khattri (J. Comput. Appl. Math., 2014)

Expanding the Applicability of High-Order Traub-Type Iterative Procedures. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; Saïd Hilout (J. Optim. Theory Appl., 2014)

Newton-Type Methods on Generalized Banach Spaces and Applications in Fractional Calculus. - George A. Anastassiou; Ioannis K. Argyros (Algorithms, 2015)

Local Convergence of an Optimal Eighth Order Method under Weak Conditions. - Ioannis K. Argyros; Ramandeep Behl; Sandile Sydney Motsa (Algorithms, 2015)

Local Convergence of an Efficient High Convergence Order Method Using Hypothesis Only on the First Derivative. - Ioannis K. Argyros; Ramandeep Behl; Sandile Sydney Motsa (Algorithms, 2015)

On the convergence of a Damped Secant method with modified right-hand side vector. - Ioannis K. Argyros; Alicia Cordero; Ángel Alberto Magreñán; Juan R. Torregrosa (Appl. Math. Comput., 2015)

On the convergence of a damped Newton-like method with modified right hand side vector. - Ioannis K. Argyros; Alicia Cordero; Ángel Alberto Magreñán; Juan R. Torregrosa (Appl. Math. Comput., 2015)

Enlarging the convergence ball of the method of parabola for finding zero of derivatives. - Ioannis K. Argyros; Santhosh George (Appl. Math. Comput., 2015)

Ball convergence comparison between three iterative methods in Banach space under hypothese only on the first derivative. - Ioannis K. Argyros; Santhosh George (Appl. Math. Comput., 2015)

Weak convergence conditions for the Newton's method in Banach space using general majorizing sequences. - Ioannis K. Argyros; Sanjay Kumar Khattri (Appl. Math. Comput., 2015)

On the convergence of an optimal fourth-order family of methods and its dynamics. - Ioannis K. Argyros; Ángel Alberto Magreñán (Appl. Math. Comput., 2015)

On the convergence of inexact two-point Newton-like methods on Banach spaces. - Ioannis K. Argyros; Ángel Alberto Magreñán (Appl. Math. Comput., 2015)

Expanding the applicability of the Secant method under weaker conditions. - Ioannis K. Argyros; Ángel Alberto Magreñán (Appl. Math. Comput., 2015)

New semilocal and local convergence analysis for the Secant method. - Ángel Alberto Magreñán; Ioannis K. Argyros (Appl. Math. Comput., 2015)

On the convergence of King-Werner-type methods of order 1 + √2 free of derivatives. - Hongmin Ren; Ioannis K. Argyros (Appl. Math. Comput., 2015)

Improved local convergence analysis of the Gauss-Newton method under a majorant condition. - Ioannis K. Argyros; Ángel Alberto Magreñán (Comput. Optim. Appl., 2015)

Local Convergence for an Improved Jarratt-type Method in Banach Space. - Ioannis K. Argyros; Daniel González (Int. J. Interact. Multim. Artif. Intell., 2015)

Ball Convergence for Steffensen-type Fourth-order Methods. - Ioannis K. Argyros; Santhosh George (Int. J. Interact. Multim. Artif. Intell., 2015)

Accessibility of solutions of operator equations by Newton-like methods. - Daya Ram Sahu; Y. J. Cho; Ravi P. Agarwal; Ioannis K. Argyros (J. Complex., 2015)

Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order. - Ioannis K. Argyros; Santhosh George; Ángel Alberto Magreñán (J. Comput. Appl. Math., 2015)

Extended convergence results for the Newton-Kantorovich iteration. - Ioannis K. Argyros; Ángel Alberto Magreñán (J. Comput. Appl. Math., 2015)

On the convergence of efficient King-Werner-type methods of order 1+√2. - Ioannis K. Argyros; Hongmin Ren (J. Comput. Appl. Math., 2015)

Extending the convergence domain of the Secant and Moser method in Banach Space. - Ioannis K. Argyros; Ángel Alberto Magreñán Ruiz (J. Comput. Appl. Math., 2015)

Directional Chebyshev-type methods for solving equations. - Ioannis K. Argyros; Miguel Ángel Hernández-Verón; Saïd Hilout; Natalia Romero Álvarez (Math. Comput., 2015)

An extension of a theorem by Wang for Smale's α-theory and applications. - Ángel Alberto Magreñán; Ioannis K. Argyros (Numer. Algorithms, 2015)

Local Convergence Analysis of an Eighth Order Scheme Using Hypothesis Only on the First Derivative. - Ioannis K. Argyros; Ramandeep Behl; Sandile Sydney Motsa (Algorithms, 2016)

Unified convergence domains of Newton-like methods for solving operator equations. - Ioannis K. Argyros; Santhosh George (Appl. Math. Comput., 2016)

On the Kurchatov method for solving equations under weak conditions. - Ioannis K. Argyros; Hongmin Ren (Appl. Math. Comput., 2016)

A new highly efficient and optimal family of eighth-order methods for solving nonlinear equations. - Ramandeep Behl; Ioannis K. Argyros; Sandile Sydney Motsa (Appl. Math. Comput., 2016)

On a result by Dennis and Schnabel for Newton's method: Further improvements. - Ioannis K. Argyros; Santhosh George (Appl. Math. Lett., 2016)

Local Convergence and the Dynamics of a Two-Step Newton-Like Method. - Ioannis K. Argyros; Ángel Alberto Magreñán Ruiz (Int. J. Bifurc. Chaos, 2016)

Newton's method on generalized Banach spaces. - Ioannis K. Argyros; Ramandeep Behl; Sandile Sydney Motsa (J. Complex., 2016)

The majorant method in the theory of Newton-Kantorovich approximations and generalized Lipschitz conditions. - Ioannis K. Argyros; Saïd Hilout (J. Comput. Appl. Math., 2016)

On the local convergence and the dynamics of Chebyshev-Halley methods with six and eight order of convergence. - Ángel Alberto Magreñán; Ioannis K. Argyros (J. Comput. Appl. Math., 2016)

New improved convergence analysis for the secant method. - Ángel Alberto Magreñán; Ioannis K. Argyros (Math. Comput. Simul., 2016)

A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative. - Ioannis K. Argyros; Ángel Alberto Magreñán (Numer. Algorithms, 2016)

Improved convergence analysis for Newton-like methods. - Ángel Alberto Magreñán; Ioannis K. Argyros (Numer. Algorithms, 2016)

Intelligent Numerical Methods: Applications to Fractional Calculus - George A. Anastassiou; Ioannis K. Argyros (Springer, 2016)

Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus - George A. Anastassiou; Ioannis K. Argyros (Springer, 2016)

Expanding the Applicability of Some High Order Househölder-Like Methods. - Sergio Amat; Ioannis K. Argyros; Miguel Ángel Hernández 001; Natalia Romero Álvarez (Algorithms, 2017)

Extending the Applicability of the MMN-HSS Method for Solving Systems of Nonlinear Equations under Generalized Conditions. - Ioannis K. Argyros; Janak Raj Sharma; Deepak Kumar 005 (Algorithms, 2017)

Higher-order derivative-free families of Chebyshev-Halley type methods with or without memory for solving nonlinear equations. - Ioannis K. Argyros; Munish Kansal; Vinay Kanwar; Sugandha Bajaj (Appl. Math. Comput., 2017)

Extending the applicability of the local and semilocal convergence of Newton's method. - Ioannis K. Argyros; Ángel Alberto Magreñán (Appl. Math. Comput., 2017)

Monotone Convergence of Extended Iterative Methods and Fractional Calculus with Applications. - George A. Anastassiou; Ioannis K. Argyros; Sunil Kumar (Fundam. Informaticae, 2017)

Local convergence of a fast Steffensen-type method on Banach space under weak conditions. - Ioannis K. Argyros; Santhosh George (Int. J. Comput. Sci. Math., 2017)

Local convergence of Cauchy-type methods under hypotheses on the first derivative. - Ioannis K. Argyros; Daniel González (Int. J. Comput. Vis. Robotics, 2017)

Extended Traub-Woźniakowski convergence and complexity of Newton iteration in Banach space. - Ioannis K. Argyros; Gilson N. Silva (J. Complex., 2017)

Third-degree anomalies of Traub's method. - Ioannis K. Argyros; Alicia Cordero; Ángel Alberto Magreñán; Juan R. Torregrosa (J. Comput. Appl. Math., 2017)

On the convergence of a higher order family of methods and its dynamics. - Ioannis K. Argyros; Alicia Cordero; Ángel Alberto Magreñán; Juan R. Torregrosa (J. Comput. Appl. Math., 2017)

Improving the domain of parameters for Newton's method with applications. - Ioannis K. Argyros; Ángel Alberto Magreñán; Juan Antonio Sicilia (J. Comput. Appl. Math., 2017)

Local convergence of Jarratt-Type Methods with Less Computation of inversion under Weak conditions. - Ioannis K. Argyros; Santhosh George (Math. Model. Anal., 2017)

Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; Ángel Alberto Magreñán (Numer. Algorithms, 2017)

On the convergence of Newton-like methods using restricted domains. - Ioannis K. Argyros; Santhosh George (Numer. Algorithms, 2017)

Convergence of Steffensen's method for non-differentiable operators. - Ioannis K. Argyros; M. A. Hernández-Verón; M. Jóse Rubio (Numer. Algorithms, 2017)

A new analysis for the Keller-Segel model of fractional order. - Sunil Kumar; Amit Kumar; Ioannis K. Argyros (Numer. Algorithms, 2017)

Predetermining the number of periodic steps in multi-step Newton-like methods for solving equations and systems of equations. - Ioannis K. Argyros; Stefan Maruster (Appl. Math. Comput., 2018)

On the local convergence study for an efficient k-step iterative method. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; M. A. Hernández-Verón; Eulalia Martínez (J. Comput. Appl. Math., 2018)

Extending the domain of starting points for Newton's method under conditions on the second derivative. - Ioannis K. Argyros; J. A. Ezquerro; M. A. Hernández-Verón; Ángel Alberto Magreñán (J. Comput. Appl. Math., 2018)

On two high-order families of frozen Newton-type methods. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; M. A. Hernández-Verón (Numer. Linear Algebra Appl., 2018)

Local convergence of iterative methods for solving equations and system of equations using weight function techniques. - Ioannis K. Argyros; Ramandeep Behl; J. A. Tenreiro Machado; Ali Saleh Alshomrani (Appl. Math. Comput., 2019)

Improved semi-local convergence of the Newton-HSS method for solving large systems of equations. - Ioannis K. Argyros; Santhosh George; Ángel Alberto Magreñán (Appl. Math. Lett., 2019)

Local convergence analysis of the Gauss-Newton-Kurchatov method. - Ioannis K. Argyros; Stepan Shakhno (CoRR, 2019)

Generalized Kung-Traub method and its multi-step iteration in Banach spaces. - Janak Raj Sharma; Sunil Kumar; Ioannis K. Argyros (J. Complex., 2019)

Unified convergence analysis of frozen Newton-like methods under generalized conditions. - Ioannis K. Argyros; Santhosh George (J. Comput. Appl. Math., 2019)

Extending the Kantorovich's theorem on Newton's method for solving strongly regular generalized equation. - Ioannis K. Argyros; Gilson N. Silva (Optim. Lett., 2019)

Ball Convergence for Combined Three-Step Methods Under Generalized Conditions in Banach Space. - Rania A. Alharbey; Ioannis K. Argyros; Ramandeep Behl (Symmetry, 2019)

Extended Convergence Analysis of the Newton-Hermitian and Skew-Hermitian Splitting Method. - Ioannis K. Argyros; Santhosh George; Chandhini Godavarma; Ángel Alberto Magreñán (Symmetry, 2019)

Two-Step Solver for Nonlinear Equations. - Ioannis K. Argyros; Stepan Shakhno; Halyna Yarmola (Symmetry, 2019)

Local Convergence of a Family of Weighted-Newton Methods. - Ramandeep Behl; Ioannis K. Argyros; J. A. Tenreiro Machado; Ali Saleh Alshomrani (Symmetry, 2019)

Derivative Free Fourth Order Solvers of Equations with Applications in Applied Disciplines. - Ramandeep Behl; Ioannis K. Argyros; Fouad Othman Mallawi; J. A. Tenreiro Machado (Symmetry, 2019)

An Efficient Class of Traub-Steffensen-Like Seventh Order Multiple-Root Solvers with Applications. - Janak Raj Sharma; Deepak Kumar 005; Ioannis K. Argyros (Symmetry, 2019)

Development of Optimal Eighth Order Derivative-Free Methods for Multiple Roots of Nonlinear Equations. - Janak Raj Sharma; Sunil Kumar; Ioannis K. Argyros (Symmetry, 2019)

Extended Newton-type iteration for nonlinear ill-posed equations in Banach space. - C. D. Sreedeep; Santhosh George; Ioannis K. Argyros (J. Appl. Math. Comput., 2019)

Local Comparison between Two Ninth Convergence Order Algorithms for Equations. - Samundra Regmi; Ioannis K. Argyros; Santhosh George (Algorithms, 2020)

Local Convergence of an Efficient Multipoint Iterative Method in Banach Space. - Janak Raj Sharma; Sunil Kumar; Ioannis K. Argyros (Algorithms, 2020)

Extending the applicability of Newton's method for a class of boundary value problems using the shooting method. - Ioannis K. Argyros; Johan Ceballos; Daniel González; José Manuel Gutiérrez Jiménez (Appl. Math. Comput., 2020)

An Accelerated Extragradient Method for Solving Pseudomonotone Equilibrium Problems with Applications. - Nopparat Wairojjana; Habib ur Rehman; Ioannis K. Argyros; Nuttapol Pakkaranang (Axioms, 2020)

On the Solution of Equations by Extended Discretization. - Gus I. Argyros; Michael I. Argyros; Samundra Regmi; Ioannis K. Argyros; Santhosh George (Comput., 2020)

Improving Convergence Analysis of the Newton-Kurchatov Method under Weak Conditions. - Ioannis K. Argyros; Stepan Shakhno; Halyna Yarmola (Comput., 2020)

Ball convergence for a family of eight-order iterative schemes under hypotheses only of the first-order derivative. - Ali Saleh Alshomrani; Ramandeep Behl; Ioannis K. Argyros (Int. J. Comput. Math., 2020)

On the complexity of extending the convergence region for Traub's method. - Ioannis K. Argyros; Santhosh George (J. Complex., 2020)

On the local and semilocal convergence of a parameterized multi-step Newton method. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; M. A. Hernández-Verón; Dionisio F. Yáñez (J. Comput. Appl. Math., 2020)

Extending the applicability of the inexact Newton-HSS method for solving large systems of nonlinear equations. - Ioannis K. Argyros; Santhosh George; Kedarnath Senapati (Numer. Algorithms, 2020)

Method of Third-Order Convergence with Approximation of Inverse Operator for Large Scale Systems. - Ioannis K. Argyros; Stepan Shakhno; Halyna Yarmola (Symmetry, 2020)

Extending the Convergence Domain of Methods of Linear Interpolation for the Solution of Nonlinear Equations. - Ioannis K. Argyros; Stepan Shakhno; Halyna Yarmola (Symmetry, 2020)

Local Convergence of Solvers with Eighth Order Having Weak Conditions. - Ramandeep Behl; Ioannis K. Argyros (Symmetry, 2020)

Convergence and Dynamics of a Higher-Order Method. - Alejandro Moysi; Ioannis K. Argyros; Samundra Regmi; Daniel González; Ángel Alberto Magreñán; Juan Antonio Sicilia (Symmetry, 2020)

A Self-Adaptive Extra-Gradient Methods for a Family of Pseudomonotone Equilibrium Programming with Application in Different Classes of Variational Inequality Problems. - Habib ur Rehman; Poom Kumam; Ioannis K. Argyros; Nasser Aedh Alreshidi; Wiyada Kumam; Wachirapong Jirakitpuwapat (Symmetry, 2020)

Inertial Extra-Gradient Method for Solving a Family of Strongly Pseudomonotone Equilibrium Problems in Real Hilbert Spaces with Application in Variational Inequality Problem. - Habib ur Rehman; Poom Kumam; Ioannis K. Argyros; Wejdan Deebani; Wiyada Kumam (Symmetry, 2020)

Convergence analysis for single point Newton-type iterative schemes. - Ioannis K. Argyros; Santhosh George (J. Appl. Math. Comput., 2020)

Extended High Order Algorithms for Equations under the Same Set of Conditions. - Ioannis K. Argyros; Debasis Sharma; Christopher I. Argyros; Sanjaya Kumar Parhi; Shanta Kumari Sunanda; Michael I. Argyros (Algorithms, 2021)

On the approximation of mth power divided differences preserving the local order of convergence. - Abdolreza Amiri; Ioannis K. Argyros (Appl. Math. Comput., 2021)

Gauss-Newton-Secant Method for Solving Nonlinear Least Squares Problems under Generalized Lipschitz Conditions. - Ioannis K. Argyros; Stepan Shakhno; Roman Iakymchuk; Halyna Yarmola; Michael I. Argyros (Axioms, 2021)

Modified proximal-like extragradient methods for two classes of equilibrium problems in Hilbert spaces with applications. - Habib ur Rehman; Poom Kumam; Ioannis K. Argyros; Nasser Aedh Alreshidi (Comput. Appl. Math., 2021)

Extensions on a local convergence result by Dennis and Schnabel for Newton's method with applications. - Ioannis K. Argyros; Michael I. Argyros; Johan Ceballos; Mariana Ceballos; Daniel González (Comput. Math. Methods, 2021)

On the complexity of extending the convergence ball of Wang's method for finding a zero of a derivative. - Hongmin Ren; Ioannis K. Argyros (J. Complex., 2021)

An Efficient Mechanism to Solve Fractional Differential Equations Using Fractional Decomposition Method. - Mahmoud S. Alrawashdeh; Seba A. Migdady; Ioannis K. Argyros (Symmetry, 2021)

On the Semi-Local Convergence of an Ostrowski-Type Method for Solving Equations. - Christopher I. Argyros; Ioannis K. Argyros; Janak Joshi; Samundra Regmi; Santhosh George (Symmetry, 2021)

A Family of Fifth and Sixth Convergence Order Methods for Nonlinear Models. - Ioannis K. Argyros; Debasis Sharma; Christopher I. Argyros; Sanjaya Kumar Parhi; Shanta Kumari Sunanda (Symmetry, 2021)

Convergence of Higher Order Jarratt-Type Schemes for Nonlinear Equations from Applied Sciences. - Ramandeep Behl; Ioannis K. Argyros; Fouad Othman Mallawi; Christopher I. Argyros (Symmetry, 2021)

Fourier Spectral High-Order Time-Stepping Method for Numerical Simulation of the Multi-Dimensional Allen-Cahn Equations. - Harish Bhatt; Janak Joshi; Ioannis K. Argyros (Symmetry, 2021)

Approximation Results for Variational Inequalities Involving Pseudomonotone Bifunction in Real Hilbert Spaces. - Kanikar Muangchoo; Nasser Aedh Alreshidi; Ioannis K. Argyros (Symmetry, 2021)

A Class of Novel Mann-Type Subgradient Extragradient Algorithms for Solving Quasimonotone Variational Inequalities. - Nopparat Wairojjana; Ioannis K. Argyros; Meshal Shutaywi; Wejdan Deebani; Christopher I. Argyros (Symmetry, 2021)

Ball comparison between frozen Potra and Schmidt-Schwetlick schemes with dynamical analysis. - Michael I. Argyros; Ioannis K. Argyros; Daniel González; Ángel Alberto Magreñán; Alejandro Moysi; Íñigo Sarría (Comput. Math. Methods, 2021)

On the local convergence of efficient Newton-type solvers with frozen derivatives for nonlinear equations. - Ramandeep Behl; Ioannis K. Argyros; Christopher I. Argyros (Comput. Math. Methods, 2021)

Numerical Processes for Approximating Solutions of Nonlinear Equations. - Samundra Regmi; Ioannis K. Argyros; Santhosh George; Christopher I. Argyros (Axioms, 2022)

Weaker convergence criteria for Traub's method. - Ioannis K. Argyros (J. Complex., 2022)

On the complexity of convergence for high order iterative methods. - Ioannis K. Argyros; Santhosh George; Christopher I. Argyros (J. Complex., 2022)

Solving unconstrained optimization problems via hybrid CD-DY conjugate gradient methods with applications. - Jitsupa Deepho; Auwal Bala Abubakar; Maulana Malik; Ioannis K. Argyros (J. Comput. Appl. Math., 2022)

Local convergence comparison between frozen Kurchatov and Schmidt-Schwetlick-Kurchatov solvers with applications. - Alejandro Moysi; Michael I. Argyros; Ioannis K. Argyros; Ángel Alberto Magreñán; Íñigo Sarría; Daniel González (J. Comput. Appl. Math., 2022)

Perturbed Newton Methods for Solving Nonlinear Equations with Applications. - Ioannis K. Argyros; Samundra Regmi; Stepan Shakhno; Halyna Yarmola (Symmetry, 2022)

On the Convergence of Two-Step Kurchatov-Type Methods under Generalized Continuity Conditions for Solving Nonlinear Equations. - Ioannis K. Argyros; Stepan Shakhno; Samundra Regmi; Halyna Yarmola (Symmetry, 2022)

Extended Convergence of Three Step Iterative Methods for Solving Equations in Banach Space with Applications. - Samundra Regmi; Ioannis K. Argyros; Santhosh George; Christopher I. Argyros (Symmetry, 2022)

Extending the Applicability of Cordero Type Iterative Method. - Krishnendu Remesh; Ioannis K. Argyros; Muhammed Saeed K; Santhosh George; Jidesh Padikkal (Symmetry, 2022)

Extended iterative schemes based on decomposition for nonlinear models. - Ioannis K. Argyros; Debasis Sharma; Christopher I. Argyros; Sanjaya Kumar Parhi; Shanta Kumari Sunanda (J. Appl. Math. Comput., 2022)

Newton-like Normal S-iteration under Weak Conditions. - Manoj K. Singh; Ioannis K. Argyros; Arvind K. Singh (Axioms, 2023)

Unified Convergence Criteria of Derivative-Free Iterative Methods for Solving Nonlinear Equations. - Samundra Regmi; Ioannis K. Argyros; Stepan Shakhno; Halyna Yarmola (Comput., 2023)

Newton-Type Methods for Solving Equations in Banach Spaces: A Unified Approach. - Ioannis K. Argyros; Stepan Shakhno; Samundra Regmi; Halyna Yarmola (Symmetry, 2023)

On the Semi-Local Convergence of Two Competing Sixth Order Methods for Equations in Banach Space. - Ioannis K. Argyros; Stepan Shakhno; Samundra Regmi; Halyna Yarmola (Algorithms, 2023)

An apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method. - Santhosh George; Muhammed Saeed K; Ioannis K. Argyros; P. Jidesh (J. Appl. Math. Comput., 2023)

Extended Kantorovich theory for solving nonlinear equations with applications. - Samundra Regmi; Ioannis K. Argyros; Santhosh George; Michael I. Argyros (Comput. Appl. Math., 2023)

Local and Semi-local convergence for Chebyshev two point like methods with applications in different fields. - Christopher I. Argyros; Michael I. Argyros; Ioannis K. Argyros; Ángel Alberto Magreñán; Íñigo Sarría Martínez de Mendivil (J. Comput. Appl. Math., 2023)

On Orthogonal Fuzzy Interpolative Contractions with Applications to Volterra Type Integral Equations and Fractional Differential Equations. - Umar Ishtiaq; Fahad Jahangeer; Doha A. Kattan; Ioannis K. Argyros; Samundra Regmi (Axioms, 2023)

Enhancing the practicality of Newton-Cotes iterative method. - Ramya Sadananda; Santhosh George; Ajil Kunnarath; Jidesh Padikkal; Ioannis K. Argyros (J. Appl. Math. Comput., 2023)

Generalized Common Best Proximity Point Results in Fuzzy Metric Spaces with Application. - Umar Ishtiaq; Fahad Jahangeer; Doha A. Kattan; Ioannis K. Argyros (Symmetry, 2023)

Common Fixed Point Results on a Double-Controlled Metric Space for Generalized Rational-Type Contractions with Application. - Khaleel Ahmad; Ghulam Murtaza; Salha Alshaikey; Umar Ishtiaq; Ioannis K. Argyros (Axioms, 2023)

On the complexity of a unified convergence analysis for iterative methods. - Ioannis K. Argyros; Stepan Shakhno; Samundra Regmi; Halyna Yarmola (J. Complex., 2023)

An optimal homotopy continuation method: Convergence and visual analysis. - Krzysztof Gdawiec; Ioannis K. Argyros; Sania Qureshi; Amanullah Soomro (J. Comput. Sci., 2023)

On Extending the Applicability of Iterative Methods for Solving Systems of Nonlinear Equations. - Indra Bate; Muniyasamy Murugan; Santhosh George; Kedarnath Senapati; Ioannis K. Argyros; Samundra Regmi (Axioms, 2024)

A Modified Fractional Newton's Solver. - Chih-Wen Chang; Sania Qureshi; Ioannis K. Argyros; Khair Muhammad Saraz; Evren Hincal (Axioms, 2024)

On obtaining order of convergence of Jarratt-like method without using Taylor series expansion. - Santhosh George; Ajil Kunnarath; Ramya Sadananda; P. Jidesh; Ioannis K. Argyros (Comput. Appl. Math., 2024)

Larger convergence regions for an efficient two-step iterative method. - Ramandeep Behl; Ioannis K. Argyros (Comput. Appl. Math., 2024)

Symmetric-Type Multi-Step Difference Methods for Solving Nonlinear Equations. - Ioannis K. Argyros; Stepan Shakhno; Samundra Regmi; Halyna Yarmola; Michael I. Argyros (Symmetry, 2024)

Hybrid Newton-like Inverse Free Algorithms for Solving Nonlinear Equations. - Ioannis K. Argyros; Santhosh George; Samundra Regmi; Christopher I. Argyros (Algorithms, 2024)

On a unified convergence analysis for Newton-type methods solving generalized equations with the Aubin property. - Ioannis K. Argyros; Santhosh George (J. Complex., 2024)

A new optimal root-finding iterative algorithm: local and semilocal analysis with polynomiography. - Sania Qureshi; Ioannis K. Argyros; Amanullah Soomro; Krzysztof Gdawiec; Asif Ali Shaikh; Evren Hincal (Numer. Algorithms, 2024)

Fixed-Point Results of Generalized (ϕ,Ψ)-Contractive Mappings in Partially Ordered Controlled Metric Spaces with an Application to a System of Integral Equations. - Mohammad Akram; Salha Alshaikey; Umar Ishtiaq; Muhammad Farhan; Ioannis K. Argyros; Samundra Regmi (Axioms, 2024)

On the Kantorovich Theory for Nonsingular and Singular Equations. - Ioannis K. Argyros; Santhosh George; Samundra Regmi; Michael I. Argyros (Axioms, 2024)

A New Optimal Numerical Root-Solver for Solving Systems of Nonlinear Equations Using Local, Semi-Local, and Stability Analysis. - Sania Qureshi; Francisco I. Chicharro; Ioannis K. Argyros; Amanullah Soomro; Jihan Alahmadi; Evren Hincal (Axioms, 2024)

Enriched Z-Contractions and Fixed-Point Results with Applications to IFS. - Ibrahim Alraddadi; Muhammad Din; Umar Ishtiaq; Mohammad Akram; Ioannis K. Argyros (Axioms, 2024)

Convergence of a Family of Methods with Symmetric, Antisymmetric Parameters and Weight Functions. - Ramandeep Behl; Ioannis K. Argyros (Symmetry, 2024)

Use of fractional calculus to avoid divergence in Newton-like solver for solving one-dimensional nonlinear polynomial-based models. - Sania Qureshi; Amanullah Soomro; Ioannis K. Argyros; Krzysztof Gdawiec; Ali Akgül; Marwan Alquran (Commun. Nonlinear Sci. Numer. Simul., 2025)

A procedure for increasing the convergence order of iterative methods from p to 5p for solving nonlinear system. - Santhosh George; Muniyasamy M; Manjusree Gopal; Chandhini Godavarma; Ioannis K. Argyros (J. Complex., 2025)

Solution of an integral equation in controlled rectangular metric spaces via weakly contractive mappings. - Doha A. Kattan; Umar Ishtiaq; Muhammad Farhan; Ioannis K. Argyros; Mohammad Akram; Samundra Regmi (J. Comput. Appl. Math., 2025)

A modified two-step optimal iterative method for solving nonlinear models in one and higher dimensions. - Chih-Wen Chang; Sania Qureshi; Ioannis K. Argyros; Francisco I. Chicharro; Amanullah Soomro (Math. Comput. Simul., 2025)